Suppose the market for surgical mask is competitive. A typical firm producing surgical masks has the following total cost function:

C=200q-12q²+2q³

where C is total cost and q is the output level.

1. Find the marginal cost and average cost functions of a typical firm producing surgical masks. Show your steps.
2. From your answers to (a), find the output level that corresponds to the efficient scale of a typical surgical mask production firm. At this efficient scale, find the corresponding price level, and the size of the profit. Show your steps as appropriate.